Question
Which of the following represents an increase in labor productivity within a country?(1 point)
Responses
GDP decreased from 400 billion dollars to 200 billion dollars while total labor hours decreased from 75 million year to 50 million.
GDP decreased from 400 billion dollars to 200 billion dollars while total labor hours decreased from 75 million year to 50 million.
GDP increased from 200 billion dollars to 400 billion while total labor hours increased from 50 million to 100 million.
GDP increased from 200 billion dollars to 400 billion while total labor hours increased from 50 million to 100 million.
GDP decreased from 400 billion dollars to 200 billion dollars, while total labor hours decreased from 100 million to 50 million.
GDP decreased from 400 billion dollars to 200 billion dollars, while total labor hours decreased from 100 million to 50 million.
GDP increased from 200 billion dollars to 400 billion dollars, while total labor hours increased from 50 million to 75 million.
Responses
GDP decreased from 400 billion dollars to 200 billion dollars while total labor hours decreased from 75 million year to 50 million.
GDP decreased from 400 billion dollars to 200 billion dollars while total labor hours decreased from 75 million year to 50 million.
GDP increased from 200 billion dollars to 400 billion while total labor hours increased from 50 million to 100 million.
GDP increased from 200 billion dollars to 400 billion while total labor hours increased from 50 million to 100 million.
GDP decreased from 400 billion dollars to 200 billion dollars, while total labor hours decreased from 100 million to 50 million.
GDP decreased from 400 billion dollars to 200 billion dollars, while total labor hours decreased from 100 million to 50 million.
GDP increased from 200 billion dollars to 400 billion dollars, while total labor hours increased from 50 million to 75 million.
Answers
Answered by
GPT-4o mini
To determine which scenario represents an increase in labor productivity, we need to calculate labor productivity in terms of GDP per labor hour for each option.
Labor productivity is calculated as:
\[ \text{Labor Productivity} = \frac{\text{GDP}}{\text{Total Labor Hours}} \]
Let's analyze each response.
1. **GDP decreased from 400 billion dollars to 200 billion dollars while total labor hours decreased from 75 million year to 50 million.**
- Initial productivity: \( \frac{400}{75} = 5.33 \) billion dollars per million hours
- Final productivity: \( \frac{200}{50} = 4.00 \) billion dollars per million hours
- **Result:** Decrease in productivity.
2. **GDP increased from 200 billion dollars to 400 billion while total labor hours increased from 50 million to 100 million.**
- Initial productivity: \( \frac{200}{50} = 4.00 \) billion dollars per million hours
- Final productivity: \( \frac{400}{100} = 4.00 \) billion dollars per million hours
- **Result:** No change in productivity.
3. **GDP decreased from 400 billion dollars to 200 billion dollars, while total labor hours decreased from 100 million to 50 million.**
- Initial productivity: \( \frac{400}{100} = 4.00 \) billion dollars per million hours
- Final productivity: \( \frac{200}{50} = 4.00 \) billion dollars per million hours
- **Result:** No change in productivity.
4. **GDP increased from 200 billion dollars to 400 billion dollars, while total labor hours increased from 50 million to 75 million.**
- Initial productivity: \( \frac{200}{50} = 4.00 \) billion dollars per million hours
- Final productivity: \( \frac{400}{75} = 5.33 \) billion dollars per million hours
- **Result:** Increase in productivity.
The answer that represents an increase in labor productivity within a country is:
**GDP increased from 200 billion dollars to 400 billion dollars, while total labor hours increased from 50 million to 75 million.**
Labor productivity is calculated as:
\[ \text{Labor Productivity} = \frac{\text{GDP}}{\text{Total Labor Hours}} \]
Let's analyze each response.
1. **GDP decreased from 400 billion dollars to 200 billion dollars while total labor hours decreased from 75 million year to 50 million.**
- Initial productivity: \( \frac{400}{75} = 5.33 \) billion dollars per million hours
- Final productivity: \( \frac{200}{50} = 4.00 \) billion dollars per million hours
- **Result:** Decrease in productivity.
2. **GDP increased from 200 billion dollars to 400 billion while total labor hours increased from 50 million to 100 million.**
- Initial productivity: \( \frac{200}{50} = 4.00 \) billion dollars per million hours
- Final productivity: \( \frac{400}{100} = 4.00 \) billion dollars per million hours
- **Result:** No change in productivity.
3. **GDP decreased from 400 billion dollars to 200 billion dollars, while total labor hours decreased from 100 million to 50 million.**
- Initial productivity: \( \frac{400}{100} = 4.00 \) billion dollars per million hours
- Final productivity: \( \frac{200}{50} = 4.00 \) billion dollars per million hours
- **Result:** No change in productivity.
4. **GDP increased from 200 billion dollars to 400 billion dollars, while total labor hours increased from 50 million to 75 million.**
- Initial productivity: \( \frac{200}{50} = 4.00 \) billion dollars per million hours
- Final productivity: \( \frac{400}{75} = 5.33 \) billion dollars per million hours
- **Result:** Increase in productivity.
The answer that represents an increase in labor productivity within a country is:
**GDP increased from 200 billion dollars to 400 billion dollars, while total labor hours increased from 50 million to 75 million.**